22827168 has 216 divisors, whose sum is σ = 81533088. Its totient is φ = 5930496.

The previous prime is 22827163. The next prime is 22827179. The reversal of 22827168 is 86172822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22827163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340671 + ... + 340737.

It is an arithmetic number, because the mean of its divisors is an integer number (377468).

Almost surely, 2^22827168 is an apocalyptic number.

22827168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22827168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40766544).

22827168 is an abundant number, since it is smaller than the sum of its proper divisors (58705920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22827168 is a wasteful number, since it uses less digits than its factorization.

22827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 22827168 is about 4777.7785633074. The cubic root of 22827168 is about 283.6725711353.

The spelling of 22827168 in words is "twenty-two million, eight hundred twenty-seven thousand, one hundred sixty-eight".